Finite Group Databasebeta

← Group #471449

Character table — Group #471449

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11222222222222222888888888888161616161616161616161616161616161616161616161616
order12222222244444444224488888888222444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ411111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ911111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ1011111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ1211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111
χ1311111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ1511111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11111
χ1611111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ17222222222-2-2-2-2-2-2-2-2000000002i2i−2i−2i000000002-2000000002i−2i0000
χ18222222222-2-2-2-2-2-2-2-2000000002i2i−2i−2i00000000-2200000000−2i2i0000
χ19222222222-2-2-2-2-2-2-2-200000000−2i−2i2i2i000000002-200000000−2i2i0000
χ20222222222-2-2-2-2-2-2-2-200000000−2i−2i2i2i00000000-22000000002i−2i0000
χ212222-22-2-2-2222-2-2-22-222-2-20000000000002i−2i0000002i−2i0000000000
χ222222-22-2-2-2222-2-2-22-222-2-2000000000000−2i2i000000−2i2i0000000000
χ232222-22-2-2-2222-2-2-22-2-2-2220000000000002i−2i000000−2i2i0000000000
χ242222-22-2-2-2222-2-2-22-2-2-222000000000000−2i2i0000002i−2i0000000000
χ25222-22-22-2-22-2222-2-2-200002i2i−2i−2i0000000000000000002-20000002i−2i
χ26222-22-22-2-22-2222-2-2-200002i2i−2i−2i000000000000000000-22000000−2i2i
χ27222-22-22-2-22-2222-2-2-20000−2i−2i2i2i0000000000000000002-2000000−2i2i
χ28222-22-22-2-22-2222-2-2-20000−2i−2i2i2i000000000000000000-220000002i−2i
χ2922-222-2-22-2-2222-22-2-200002i−2i2i−2i0000002-2002i−2i0000000000000000
χ3022-222-2-22-2-2222-22-2-200002i−2i2i−2i000000-2200−2i2i0000000000000000
χ3122-222-2-22-2-2222-22-2-20000−2i2i−2i2i0000002-200−2i2i0000000000000000
χ3222-222-2-22-2-2222-22-2-20000−2i2i−2i2i000000-22002i−2i0000000000000000
χ3322-2-222-2-2222-2-222-2-2000000002i−2i2i−2i00000000002i−2i00002-2000000
χ3422-2-222-2-2222-2-222-2-2000000002i−2i2i−2i0000000000−2i2i0000-22000000
χ3522-2-222-2-2222-2-222-2-200000000−2i2i−2i2i00000000002i−2i0000-22000000
χ3622-2-222-2-2222-2-222-2-200000000−2i2i−2i2i0000000000−2i2i00002-2000000
χ3722-2-222-2-22-2-222-2-2222-22-22-2-222-2-22000000000000000000000000
χ3822-2-222-2-22-2-222-2-2222-22-2-222-2-222-2000000000000000000000000
χ3922-2-222-2-22-2-222-2-222-22-222-2-22-222-2000000000000000000000000
χ4022-2-222-2-22-2-222-2-222-22-22-222-22-2-22000000000000000000000000
χ4122-2-2-2222-2-2-22-2222-22-2-22000000002-20000000000000000002-200
χ4222-2-2-2222-2-2-22-2222-22-2-2200000000-22000000000000000000-2200
χ4322-2-2-2222-2-2-22-2222-2-222-2000000002-2000000000000000000-2200
χ4422-2-2-2222-2-2-22-2222-2-222-200000000-220000000000000000002-200
χ454444-44-4-4-4-4-4-4444-44000000000000000000000000000000000000
χ46444-44-44-4-4-44-4-4-4444000000000000000000000000000000000000
χ47444-4-4-4-4444-44-4-44-44000000000000000000000000000000000000
χ48444-4-4-4-444-44-444-44-4000000000000000000000000000000000000
χ4944-444-4-44-44-4-4-44-444000000000000000000000000000000000000
χ5044-44-4-44-444-4-44-444-4000000000000000000000000000000000000
χ5144-44-4-44-44-444-44-4-44000000000000000000000000000000000000
χ5244-4-4-4444-444-44-4-4-44000000000000000000000000000000000000
χ5316-16000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).